Answers
Answer:
C 684 sq. m
Step-by-step explanation:
[tex]A = \frac{a + b}{2} h[/tex]
(26 + 46) /2 x 19 = 684
Related Questions
What is the equation for -8 = p - 13
Answers
Answer: 5 is your answer hope this helped
plz make brainly
Step-by-step explanation:
Shane can run the length of a football field (100 yards) in 12 seconds what's shanes speed?
Answers
Answer:
8 1/3 or 8.33 yards per second
Step-by-step explanation:
100/12 = 8 1/3
Given two points P(sinθ+2, tanθ-2) and Q(4sin²θ+4sinθcosθ+2acosθ, 3sinθ-2cosθ+a). Find constant "a" and the corresponding value of θ when these two points coincide. (0 ≤ θ < 2π)
Show your work, thanks!
Answers
Answer:
[tex] \rm\displaystyle \displaystyle \displaystyle θ= {60}^{ \circ} , {300}^{ \circ} [/tex]
[tex] \rm \displaystyle a = - \frac{ \sqrt{3} }{2} - 1, \frac{\sqrt{3}}{2} - 1[/tex]
Step-by-step explanation:
we are given two coincident points
[tex] \displaystyle P( \sin(θ)+2, \tan(θ)-2) \: \text{and } \\ \displaystyle Q(4 \sin ^{2} (θ)+4 \sin(θ) \cos(θ)+2a \cos(θ), 3 \sin(θ)-2 \cos(θ)+a)[/tex]
since they are coincident points
[tex] \rm \displaystyle P( \sin(θ)+2, \tan(θ)-2) = \displaystyle Q(4 \sin ^{2} (θ)+4 \sin(θ )\cos(θ)+2a \cos(θ), 3 \sin(θ)-2 \cos(θ)+a)[/tex]
By order pair we obtain:
[tex] \begin{cases} \rm\displaystyle \displaystyle 4 \sin ^{2} (θ)+4 \sin(θ) \cos(θ)+2a \cos(θ) = \sin( \theta) + 2 \\ \\ \displaystyle 3 \sin( \theta) - 2 \cos( \theta) + a = \tan( \theta) - 2\end{cases}[/tex]
now we end up with a simultaneous equation as we have two variables
to figure out the simultaneous equation we can consider using substitution method
to do so, make a the subject of the equation.therefore from the second equation we acquire:
[tex] \begin{cases} \rm\displaystyle \displaystyle 4 \sin ^{2} (θ)+4 \sinθ \cos(θ)+2a \cos(θ )= \sin( \theta) + 2 \\ \\ \boxed{\displaystyle a = \tan( \theta) - 2 - 3 \sin( \theta) + 2 \cos( \theta) } \end{cases}[/tex]
now substitute:
[tex] \rm\displaystyle \displaystyle 4 \sin ^{2} (θ)+4 \sin(θ) \cos(θ)+2 \cos(θ) \{\tan( \theta) - 2 - 3 \sin( \theta) + 2 \cos( \theta) \}= \sin( \theta) + 2 [/tex]
distribute:
[tex]\rm\displaystyle \displaystyle 4 \sin ^{2}( θ)+4 \sin(θ) \cos(θ)+2 \sin(θ ) - 4\cos( \theta) - 6 \sin( \theta) \cos( \theta) + 4 \cos ^{2} ( \theta) = \sin( \theta) + 2 [/tex]
collect like terms:
[tex]\rm\displaystyle \displaystyle 4 \sin ^{2}( θ) - 2\sin(θ) \cos(θ)+2 \sin(θ ) - 4\cos( \theta) + 4 \cos ^{2} ( \theta) = \sin( \theta) + 2 [/tex]
rearrange:
[tex]\rm\displaystyle \displaystyle 4 \sin ^{2}( θ) + 4 \cos ^{2} ( \theta) - 2\sin(θ) \cos(θ)+2 \sin(θ ) - 4\cos( \theta) + = \sin( \theta) + 2 [/tex]
by Pythagorean theorem we obtain:
[tex]\rm\displaystyle \displaystyle 4 - 2\sin(θ) \cos(θ)+2 \sin(θ ) - 4\cos( \theta) = \sin( \theta) + 2 [/tex]
cancel 4 from both sides:
[tex]\rm\displaystyle \displaystyle - 2\sin(θ) \cos(θ)+2 \sin(θ ) - 4\cos( \theta) = \sin( \theta) - 2[/tex]
move right hand side expression to left hand side and change its sign:
[tex]\rm\displaystyle \displaystyle - 2\sin(θ) \cos(θ)+\sin(θ ) - 4\cos( \theta) + 2 = 0[/tex]
factor out sin:
[tex]\rm\displaystyle \displaystyle \sin (θ) (- 2 \cos(θ)+1) - 4\cos( \theta) + 2 = 0[/tex]
factor out 2:
[tex]\rm\displaystyle \displaystyle \sin (θ) (- 2 \cos(θ)+1) + 2(- 2\cos( \theta) + 1 ) = 0[/tex]
group:
[tex]\rm\displaystyle \displaystyle ( \sin (θ) + 2)(- 2 \cos(θ)+1) = 0[/tex]
factor out -1:
[tex]\rm\displaystyle \displaystyle - ( \sin (θ) + 2)(2 \cos(θ) - 1) = 0[/tex]
divide both sides by -1:
[tex]\rm\displaystyle \displaystyle ( \sin (θ) + 2)(2 \cos(θ) - 1) = 0[/tex]
by Zero product property we acquire:
[tex] \begin{cases}\rm\displaystyle \displaystyle \sin (θ) + 2 = 0 \\ \displaystyle2 \cos(θ) - 1= 0 \end{cases}[/tex]
cancel 2 from the first equation and add 1 to the second equation since -1≤sinθ≤1 the first equation is false for any value of theta
[tex] \begin{cases}\rm\displaystyle \displaystyle \sin (θ) \neq - 2 \\ \displaystyle2 \cos(θ) = 1\end{cases}[/tex]
divide both sides by 2:
[tex] \rm\displaystyle \displaystyle \displaystyle \cos(θ) = \frac{1}{2}[/tex]
by unit circle we get:
[tex] \rm\displaystyle \displaystyle \displaystyle θ= {60}^{ \circ} , {300}^{ \circ} [/tex]
so when θ is 60° a is:
[tex] \rm \displaystyle a = \tan( {60}^{ \circ} ) - 2 - 3 \sin( {60}^{ \circ} ) + 2 \cos( {60}^{ \circ} ) [/tex]
recall unit circle:
[tex] \rm \displaystyle a = \sqrt{3} - 2 - \frac{ 3\sqrt{3} }{2} + 2 \cdot \frac{1}{2} [/tex]
simplify which yields:
[tex] \rm \displaystyle a = - \frac{ \sqrt{3} }{2} - 1[/tex]
when θ is 300°
[tex] \rm \displaystyle a = \tan( {300}^{ \circ} ) - 2 - 3 \sin( {300}^{ \circ} ) + 2 \cos( {300}^{ \circ} ) [/tex]
remember unit circle:
[tex] \rm \displaystyle a = - \sqrt{3} - 2 + \frac{3\sqrt{ 3} }{2} + 2 \cdot \frac{1}{2} [/tex]
simplify which yields:
[tex] \rm \displaystyle a = \frac{ \sqrt{3} }{2} - 1[/tex]
and we are done!
disclaimer: also refer the attachment I did it first before answering the question
Evaluate 1/3m-1-1/2n when m=21 and n=12
Answers
Answer:
12
Step-by-step explanation:
2. Which equation describes a line that has
a slope of and a y-intercept of ?
A) 5y + 4x = 2
C) Sy - 4x = 2
B) 4x5y = 2
D) -5y - 4x = 2
Answers
Answer:
What?
Step-by-step explanation:
G8ve me more info and Ill answer again
Giving brainlist to whoever answers
Answers
Answer:
C.
Step-by-step explanation:
In how many years the interest of Rs 25000 at 5.5% per year will be Rs3300?
Plzz help!!!
Answers
Answer:
37.82 year(s)
Step-by-step explanation:
double check tho, i might be using different method or my ans could be wrong since you gave literally no info on your specific task
Can someone help, please
easy math equation!
4. Write an equation of the line with slope 2/3 that goes through the point (-2,5).
Answers
−
5
=
−
2
(
x
−
2
)
and
y
=
−
2
x
+9
A polar bear weighs 3 times more than a baby elephant. Both of them together weigh 700 kilograms. How much does the polar bear weigh?
Answers
Answer:
The polar bear weighs 525kg
Step-by-step explanation:
C = Polar Bear
D = Baby Elephant
____________________________
(1) C + D = 700 kg
(2) C = 3D
________________________________
C = 700 - D
700 - D = 3D
700 = 4D
________________________________
525 + 175 = 700
Then we get our answer, the polar bear weighs 525kg, and the baby elephant weighs 175kg.
Hope this helps you :)
i need help
5times 10 +25-9+2times2
Answers
Answer:
put it on the calculator
Answer:
its 136
Step-by-step explanation:
Can someone pleaseeee help and if you’re correct i’ll give brainliest
Answers
3 rows
6 columns
will give brainiest!
The Pythagorean Identity states that:
(sin x)2 + (cOS X)2 = 1
Given cos 0 = 6/10, find sin 0.
sin 0 = [ ? ] / [ ? ]
Simplify the fraction.
Answers
Answer:
[tex] \frac{4}{5} [/tex]
Step-by-step explanation:
[tex] ( \cos \theta) ^{2} + ( \sin \theta) ^{2} = 1 \\ \\ \therefore \: { \bigg( \frac{{6} }{10} \bigg)}^{2} + ( \sin \theta) ^{2} = 1 \\ \\ \frac{36}{100} + ( \sin \theta) ^{2} = 1 \\ \\ ( \sin \theta) ^{2} = 1 - \frac{36}{100} \\ \\ ( \sin \theta) ^{2} = \frac{100 - 36}{100} \\ \\ ( \sin \theta) ^{2} = \frac{64}{100} \\ \\ \sin \theta = \sqrt{\frac{64}{100} } \\ \\ \sin \theta = \frac{8}{10} \\ \\ \sin \theta = \frac{4}{5} [/tex]
After solving the system of equations, what is the value of y?
6x+2y=-4
x-2y=4
Answers
Answer:
x=0, y=-2
Step-by-step explanation:
6x0=0
2(-2)=-4
so, -4=-4 so it is determined true
Then 0-2(-2), -2(-2)=4
subtract 0 from 4 which is 4
so, 4=4, so it is determined true
Rick bought a fan for his living room he was looking at it while he was installing it wondered to himself what the angle between each blade measured. The fan has 3 blades evenly spaced. What is the angle between each blade and what type of angle are they?
Answers
Answer:
The angle between the two blades is 120 degree.
Step-by-step explanation:
number of blades = 3
The blades are equally spaced.
The total angle around a circle is 360 degree.
So, the angle between the two blades is given by
[tex]\theta =\frac{360}{n}\\\theta =\frac{360}{3} = 120^{o}[/tex]
A bus departed from New York at 11 pm with 44 passengers. An hour later, a few passengers got off at New Jersey. The number of passengers who boarded the bus at New Jersey were twice the number of passengers who got off the bus. If the bus has 50 passengers now, how many passengers got off at New Jersey?
Answers
Answer:
6 passengers got off at New Jersey
Step-by-step explanation:
let the number of passengers who got off be x and let the number of passengers who boarded the bus be y
y=2x
44 - x + y=50
y=50-44+x
y=6+x
subst y=2x
2x=6+x
2x-x=6
x=6
Please help me!! How do I do this?
Answers
Answer:
Taking 45 degree as reference angle
Then using sine rule
sin 45=
p/h
replacing the value of sin 45 degree by 1/root 2.so
1/root 2=9/c
doing cross multiplication
9*root 2=1*c
9 root 2 =c
therefore the value of c is 9 root 2
Step-by-step explanation:
Square ABCD is translated 9 units to the right, followed by a translation 6 units down
Square ABCD is reflected across the y-axis, followed by a translation 6 units down
Square ABCD is translated 6 units down, followed by a translation 9 units to the right
Answers
Answer:
71
Step-by-step explanation:
ndndnrbrjen3n3nn3b2n2b2b
hiii can someone help me please it’s really greatly appreciated!!THANK YOUUU
Answers
Answer:
Step-by-step explanation:
so we know that a triangle degrees have to add up to 180 in the inside right? So we know c is 90 and so you need to find A and B. The left over degrees you have is 90 so the sum of B and A would have to be 90, thats all i can help you with sorry.
1. Una proposición que necesita ser demostrada y que cuya demostración consta de un conjunto de razonamientos se llama:
A. Axioma. B. Hipótesis. C. Colorario. D. Teorema.
2. Una proposición tan sencilla y evidente por sí misma que se admite sin demostración:
A. Axioma. B. Hipótesis. C. Escolio. D. Teorema.
Answers
Answer:
1. D. Teorema.
2. A. Axioma.
Step-by-step explanation:
En matemáticas, un conjunto de proposiciones que deben estar respaldadas por una prueba adecuada basada en el razonamiento se denomina teorema. Se puede demostrar plenamente que todos los teoremas matemáticos son verdaderos mediante el razonamiento.
Sin embargo, un axión es evidente por sí mismo y no necesita ser probado. Es un hecho ya establecido.
Answer:
1. D. Teorema.
2. A. Axioma.
Step-by-step explanation:
Espero que esto ayude
Renting video games from Store S costs $2.50 per game plus a monthly fee of $5.00. Renting video games from Store T costs $5.00 per game with no monthly fee. The monthly cost to rent video games depends on the number of video games, v, rented. ?
Answers
Answer:answer is 2.5v+5<5v A.k.a:A
Step-by-step explanation:
Work backward to solve.
What is the starting position (x, y)?
Answers
Find the area of a circle with a diameter of 31.
Answers
Answer:
hope this helps
Step-by-step explanation:
31 divided by 2 = 15.5 then do 15.5 x 15.5= 240.25 then you do 240.25 x 3.14 = 754.385
Question 4
1 pts
3. Aracelli has a class of kindergardeners. Each student gets a six oz cup of milk at
snack time. How many gallons of milk will she need to buy for a class of 23 students?
O 1.08 gallons
1.1 gallons
O 2 gallons
1 gallon
1 pts
Question 5
Answers
Answer:
There is a little over 1 gallon
Step-by-step explanation:
plss help me answer this
Answers
Answer:
c≈5.2
Step-by-step explanation:
c=a2+b2=1.412+52≈5.19501
NEED HELP ASAP!!
What is the value of the system determinant for the following system of equations?
5x + y = 4
3x + y - 7 = 0
A. -2
B. 2
C. 23
D. -37
Answers
Answer:
I think it is 23 I am not sure
Step-by-step explanation:
Calculate the theoretical probability of each of the following events:
You spin a spinner with 3 equal sections labeled blue, red, and purple, and it lands on purple.
Answers
Answer:
There is a 1/3 chance it lands on each section
Step-by-step explanation:
Help me ASAP I have a 67% I math the girlie needs help
Answers
Answer:
x=28
Step-by-step explanation:
4(x-5)=92
4x-20=92
add 20 to both sides
4x=112
divide 4 on both sides
x=28
Answer:
The value of x is 28
Step-by-step explanation:
4(x - 5) = 92
4x - 20 = 92
4x = 92 + 20
4x = 112
x = 112 ÷ 4
x = 28
Thus, The value of x is 28
-TheUnknownScientist
The lengths of three sides of a triangle are given. Classify each triangle as acute, right, or obtuse. 6,9,7
Answers
Right triangle : a^2+b^2=c^2
Acute triangle : a^2+b^2 > c^2
Obtuse triangle:a^2+b^2 < c^2
6^2+7^2 > 9^2
Joe tried to prove that the sum of a triangle's interior angle measures is 180°
Answers
Answer: Angles ∠4 and∠2 are not alternate interior angles and neither are ∠1 and ∠5
Step-by-step explanation: Khan Academy
Joe made the mistake by guessing Angles ∠4 and∠2 are not alternate interior angles and neither are ∠1 and ∠5.
The correct option is (b).
What is Parallel line?The fundamental characteristics listed below make it simple to recognise parallel lines.
Straight lines that are always the same distance apart from one another are called parallel lines.No matter how far apart they are from one another, parallel lines can never intersect.Given:
WE have to prove that the sum of a triangle's interior angle measures is 180°
According to the figure <1 and <4 are the alternate interior angle and <2 and <5 are alternate interior angle.
So, Joe made the mistake by guessing Angles ∠4 and∠2 and ∠1 and ∠5 are alternate interior angles.
Learn more about parallel lines here:
https://brainly.com/question/16701300
#SPJ2
What is the area of the rectangle
Answers
Answer:
E. 54cm ^2
Step-by-step explanation:
when finding the area just multiply length over width .for example 9 is the length times it to the width 6 you get 54 so the area will be 54 cm
Answer:
E
Step-by-step explanation:
length times width
6 x 9 = 54